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Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”
Comptes Rendus. Mathématique, Volume 358 (2020) no. 8, p. 939.

This appendix gives a lower bound of the Billingsley-Hausdorff dimension of a level set related to Birkhoff average in the “non-compact” symbolic space , defined by Gibbs measure.

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DOI : 10.5802/crmath.116
Bilel Selmi 1

1 Analysis, Probability and Fractals Laboratory: LR18ES17, Department of Mathematics, Faculty of Sciences of Monastir, University of Monastir, 5000-Monastir, Tunisia
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     title = {Appendix to the paper {{\textquotedblleft}On} the {Billingsley} dimension of {Birkhoff} average in the countable symbolic space{\textquotedblright}},
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Bilel Selmi. Appendix to the paper “On the Billingsley dimension of Birkhoff average in the countable symbolic space”. Comptes Rendus. Mathématique, Volume 358 (2020) no. 8, p. 939. doi : 10.5802/crmath.116. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.116/

[1] Najmeddine Attia; Bilel Selmi On the Billingsley dimension of Birkhoff average in the countable symbolic space, C. R. Math. Acad. Sci. Paris, Volume 358 (2020) no. 3, pp. 255-265 | DOI | MR | Zbl

[2] Ai-Hua Fan; Ming-Tian Li; Ji-Hua Ma Generic points of shift-invariant measures in the countable symbolic space, Math. Proc. Camb. Philos. Soc., Volume 166 (2019) no. 2, pp. 381-413 | DOI | MR | Zbl

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